Homework Help

if x=3sin(delta) and y=3 cos(delta) -2, eliminate delta to find an equation relating x...

user profile pic

bubbletrea | Student, Grade 11 | (Level 2) Honors

Posted July 12, 2013 at 1:40 AM via web

dislike 1 like

if x=3sin(delta) and y=3 cos(delta) -2, eliminate delta to find an equation relating x and y

 

1 Answer | Add Yours

user profile pic

llltkl | College Teacher | (Level 3) Valedictorian

Posted July 12, 2013 at 1:58 AM (Answer #1)

dislike 1 like

Given, `x=3sindelta` , `y=(3cosdelta-2)`

square and add both sides of the two equations,

`x^2+y^2=9sin^2delta+9cos^2delta-2*3cosdelta*2+4`

     `=9(sin^2delta+cos^2delta)-4(3cosdelta-2)+4-8`

     `=9-4y-4`

     `=5-4y`

add 4y+4 to bothe sides of the equation,

`rArr x^2+y^2+4y+4=9`

`rArr x^2+(y+2)^2=9`

`rArr x^2/3^2+(y+2)^2/3^2=1`

=>answer

 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes